A garden has the shape of a right triangle with one leg 55 meters longer than the other. the hypotenuse is 55 meters less than twice the length of the shorter leg. what is the length of the shorter leg? the length of the shorter leg is nothing meters.
in a right triangle c²=a²+b² where c is the hypotenuse a and b are the legs so hypotenuse²=x²+y²------> (2y-55)²=(55+y)²+y² 4y²-220y+3025=y²+110y+3025+y² 2y²-330y=0------> divided by 2-----> y²-165y=0
using a graph tool see the attached figure the solution is y=165 m
the answer is the length of the shorter leg is 165 m
